Unduloids and their geometry
Hadzhilazova, Mariana ; Mladenov, Ivaïlo M. ; Oprea, John
Archivum Mathematicum, Tome 043 (2007), p. 417-429 / Harvested from Czech Digital Mathematics Library
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In this paper we consider non-compact cylinder-like surfaces called unduloids and study some aspects of their geometry. In particular, making use of a Kenmotsu-type representation of these surfaces, we derive explicit formulas for the lengths and areas of arbitrary segments, along with a formula for the volumes enclosed by them.

Publié le : 2007-01-01
Classification:  49Q10,  53-04,  53A05,  53C42,  53Cxx 
@article{108081,
     author = {Mariana Hadzhilazova and Iva\"\i lo M. Mladenov and John Oprea},
     title = {Unduloids and their geometry},
     journal = {Archivum Mathematicum},
     volume = {043},
     year = {2007},
     pages = {417-429},
     zbl = {1199.53008},
     mrnumber = {2381785},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108081}
}

Hadzhilazova, Mariana; Mladenov, Ivaïlo M.; Oprea, John. Unduloids and their geometry. Archivum Mathematicum, Tome 043 (2007) pp. 417-429. http://gdmltest.u-ga.fr/item/108081/

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